The answer to your problem is C
Answer:
The equation of the circle is (x -8)² + (y -4)² = 184.96
Step-by-step explanation:
In order to determine the equation of this circle we first need to calculate the coordinates of the center, which are given by the difference of the coordinates divided by two. We have:
Xc = [13 - (-3)]/2 = (13 + 3)/2 = 16/2 = 8
Yc = (11 - 3)/2 = 8/2 = 4
Therefore the center is (8,4). We now need to find the radius of the circle, which is given by the distance from the center to one of the points given:
r = sqrt{[8 - (-3)]² + (11 - 3)²} = sqrt(11² + 8²) = 13.60
The equation of a circle is given by:
(x - Xc)² + (y - Yc)² = r²
(x -8)² + (y -4)² = (13.6)²
(x -8)² + (y -4)² = 184.96
Answer:
294.5 m²
Step-by-step explanation:
shaded region = area of major sector + area of triangle
central angle of major sector = 360° - 130° = 230°
area of sector = area of circle × fraction of circle
A = π × 11.1² ×
= ≈ 247.3 m²
area of triangle = 0.5 × 11.1 × 11.1 × sin130° ≈ 47.2 m²
shaded area = 247.3 + 47.2 ≈ 294.5 m²
Answer:
14 cm.
Step-by-step explanation:
We have been given that an aquarium is a right rectangular prism 18.5 cm long and 15 cm wide. We are also told that Martene put 3885 cubic cm of water in the aquarium.
To find the depth or height of aquarium, we will use volume of rectangular prism formula.
, where,
l = Length of prism,
w = Width of prism,
h = Height of prism.
Upon substituting our given values in above formula we will get,
Therefore, the aquarium is 14 cm deep.
1650 / 55 = 30
Hope it helps you